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Finding the Fourth Proportional to 22,083, 33,116.40 and 7,287.54

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Solution

The fourth proportional to 22,083, 33,116.40 and 7,287.54 is: 10,928.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,083 : 33,116.40 = 7,287.54 : x
  2. Step 2: Convert to fraction form
    22,083/33,116.40 = 7,287.54/x
  3. Step 3: Cross multiply
    22,083x = 33,116.40 × 7,287.54
  4. Step 4: Simplify right side
    22,083x = 241,337,089.66
  5. Step 5: Solve for x
    x = 241,337,089.66/22,083
  6. Step 6: Final answer
    x = 10,928.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.